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Article Dans Une Revue International Journal for Numerical Methods in Fluids Année : 2017

Momentum-based approximation of incompressible multiphase fluid flows

Résumé

We introduce a time stepping technique using the momentum as dependent variable to solve incompressible multiphase problems. The main advantage of this approach is that the mass matrix is time-independent making this tech- nique suitable for spectral methods. A level set method is applied to reconstruct the fluid properties such as density. We also introduce a stabilization method using an entropy-viscosity technique and a compression technique to limit the flattening of the level set function. We extend our algorithm to immiscible con- ducting fluids by coupling the incompressible Navier-Stokes and the Maxwell equations. We validate the proposed algorithm against analytical and manufac- tured solutions. Results on test cases such as Newton's bucket problem and a variation thereof are provided. Surface tension effects are tested on benchmark problems involving bubbles. A numerical simulation of a phenomenon related to the industrial production of aluminium is presented at the end of the paper.

Dates et versions

hal-01836522 , version 1 (12-07-2018)

Identifiants

Citer

Loïc Cappanera, Jean-Luc Guermond, Wietze Herreman, Caroline Nore. Momentum-based approximation of incompressible multiphase fluid flows. International Journal for Numerical Methods in Fluids, 2017, 86 (8), pp.541-563. ⟨10.1002/fld.4467⟩. ⟨hal-01836522⟩
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